Search a number
-
+
33151022015133 = 31129473837272647
BaseRepresentation
bin1111000100110100100101…
…11001000010001010011101
311100101012120201112022000010
413202122102321002022131
513321121243113441013
6154301211432353433
76661040141526441
oct742322271021235
9140335521468003
1033151022015133
11a6212a6755a90
123874a82245879
131566188196189
14828737672821
153c7502bcb7c3
hex1e2692e4229d

33151022015133 has 128 divisors (see below), whose sum is σ = 51166335467520. Its totient is φ = 18903215358720.

The previous prime is 33151022015123. The next prime is 33151022015147.

33151022015133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33151022015133 - 237 = 33013583061661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33151022015133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33151022015123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12523996416 + ... + 12523999062.

It is an arithmetic number, because the mean of its divisors is an integer number (399736995840).

Almost surely, 233151022015133 is an apocalyptic number.

33151022015133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33151022015133 is a deficient number, since it is larger than the sum of its proper divisors (18015313452387).

33151022015133 is a wasteful number, since it uses less digits than its factorization.

33151022015133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 33151022015133 in words is "thirty-three trillion, one hundred fifty-one billion, twenty-two million, fifteen thousand, one hundred thirty-three".

Divisors: 1 3 11 29 33 47 87 141 319 383 517 727 957 1149 1363 1551 2181 2647 4089 4213 7941 7997 11107 12639 14993 18001 21083 23991 29117 33321 34169 44979 54003 63249 76763 87351 102507 122177 124409 198011 230289 231913 278441 366531 373227 375859 522029 594033 695739 835323 844393 990901 1013801 1127577 1368499 1566087 1924369 2533179 2972703 3041403 3062851 3607861 4105497 5742319 5773107 8074789 9188553 10823583 10899911 11151811 13086727 17226957 21168059 24224367 29400229 32699733 33455433 39260181 39686471 47648647 55806701 63504177 88200687 88822679 90445343 119059413 142945941 143953997 167420103 266468037 271336029 323402519 379515083 431861991 524135117 613873711 737033327 970207557 994898773 1138545249 1381810763 1572405351 1841621133 2211099981 2622914947 2984696319 4145432289 4174665913 7868744841 8107366597 12523997739 15199918393 21373966483 24322099791 28852064417 34640566369 45599755179 64121899449 86556193251 103921699107 235113631313 381046230059 705340893939 1004576424701 1143138690177 3013729274103 11050340671711 33151022015133